Improvements on stability criteria for linear systems with a time-varying delay via novel delay-dependent Lyapunov functionals.
ISA Trans
; 2024 Jul 02.
Article
in En
| MEDLINE
| ID: mdl-38972823
ABSTRACT
This work investigates the less conservative stability conditions for linear systems with a time-varying delay. At first, augmented Lyapunov-Krasovskii functionals(LKFs) are constructed with state vectors that have not been utilized in the existing works, and an augmented zero equality that can be derived according to the augmented vector is proposed. By utilizing them, a stability condition is proposed in the form of a linear matrix inequality. And, by using novel delay-dependent LKFs and the introduced ones, improved results are obtained than the previous result. The addition of the delay-dependent LKFs increases the number of decision variables in the results. Therefore, any vectors of integral inequalities utilized in the proposed criterion are appropriately adjusted to reduce computational complexity. To check the excellence and validity of the proposed results, several numerical examples are applied.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
ISA Trans
Year:
2024
Document type:
Article